Free Printable Equation of a line #1

1.

State the equation of the line passing through the points $\left(2,5\right)\ and\ \left(-7,5\right)$

a)

$x=5$

b)

$y=5$

c)

$x=2$

d)

$x=-7$

2.

State the equation of the line passing through the points $\left(1,-3\right)\ and\ \left(1,8\right)$

a)

$y=1$

b)

$y=8$

c)

$x=1$

d)

$x=-3$

3.

State the equation of the horizontal line passing though the point $\left(4,6\right)$

a)

$y=4$

b)

$x=4$

c)

$x=6$

d)

$y=6$

4.

State the equation of the vertical line passing through the point $\left(-2,-9\right)$

a)

$y=-9$

b)

$x=-2$

c)

$x=-9$

d)

$y=-2$

5.

Given the equation of a line is $2y-4x=3$ then

a)

$gradient\ =2\ ,\ y\ intercept\ =\ \frac{3}{2}$

b)

$gradient\ =\frac{1}{2}\ ,\ y\ intercept\ =\ \frac{3}{2}$

c)

$gradient\ =\ -4\ ,\ y\ intercept\ =\ 3$

d)

$gradient\ =\ 4\ ,\ y\ intercept\ =\ 3$

6.

Find the equation of a line that is parallel to a line of gradient $\frac{1}{5}$ and passes through the point $\left(7,2\right)$

a)

$5y=x+33$

b)

$y=5x-33$

c)

$5y=x+3$

d)

$y=37-5x$

7.

Find the equation of a line that is perpendicular to a line of gradient $-\frac{3}{5}$ and passes through the point $\left(1,2\right)$

a)

$5y=3x+10$

b)

$5y=13-3x$

c)

$3y=11-5x$

d)

$3y=5x+1$

8.

State the equation of a line through the point $\left(4,5\right)$ that is parallel to the line with equation $y=1$ . (think about what the line would look like!)

a)

$x=4$

b)

$y=5$

c)

$x=5$

d)

$y=4$

9.

State the equation of the line perpendicular to the line $y=3$ and passes through the point $\left(7,-4\right)$ . (think about what the line would look like!)

a)

$x=7$

b)

$x=-4$

c)

$y=7$

d)

$y=-4$

10.

Find the gradient of the line with equation $7y=2+x$

a)

$\frac{2}{7}$

b)

$1$

c)

$\frac{1}{7}$

d)

$2$

11.

Write equation of the line containing the points (-3,4) and (-1,-2)

a)

y = -3x - 5

b)

y = -3x + 1

c)

y = -3x + 13

d)

y = 3x + 1

12.

Write equation of the line containing (2,6) and (3,1)

a)

y = 5x - 14

b)

y = -5x - 14

c)

y = -5x + 16

d)

y = -5x + 6

13.

Write the equation of the line in the form y = mx + c given

m = -1 and point (-2, 4)

a)

$x=-2$

b)

$y=4x-2$

c)

$y=4$

d)

$y=-x+2$

14.

Find the gradient of the line that passes through:

(-3, -4) and (7, 6)

a)

0

b)

Undefined

c)

-1

d)

1

15.

How would you write the equation of a line with gradient 3 and y-intercept 6?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

Equation of a line #1

Total questions: 15

Worksheet time: 1hrs 5mins

Similar Resources on Wayground